6 citations · 8 across the 8 of their papers we have counts for
9 papers
Asymptotic pseudodifferential calculus and the rescaled bundle
Xiaoman Chen, Zelin Yi
By following a groupoid approach to pseudodifferential calculus developed by Van erp and Yuncken, we study the parallel theory on the rescaled bundle and show that the rescaled bun…
The strongly quasi-local coarse Novikov conjecture and Banach spaces with Property (H)
Xiaoman Chen, Kun Gao, Jiawen Zhang
In this paper, we introduce a strongly quasi-local version of the coarse Novikov conjecture, which states that certain assembly map from the coarse -homology of a metric space t…
Strongly Quasi-local algebras and their -theories
Hengda Bao, Xiaoman Chen, Jiawen Zhang
In this paper, we introduce a notion of strongly quasi-local algebras. They are defined for each discrete metric space with bounded geometry, and sit between the Roe algebra and th…
Relative Equivariant Coarse Index Theorem and Relative -Index Theorem
Xiaoman Chen, Yanlin Liu, Dapeng Zhou
In this paper, we give a definition of the relative equivariant coarse index for proper actions and derive a relative equivariant coarse index theorem connecting this index with th…
Higher rho invariant and delocalized eta invariant at infinity
Xiaoman Chen, Hongzhi Liu, Hang Wang +1
In this paper, we introduce several new secondary invariants for Dirac operators on a complete Riemannian manifold with a uniform positive scalar curvature metric outside a compact…
Delocalized eta invariants, cyclic cohomology and higher rho invariants
Xiaoman Chen, Jinmin Wang, Zhizhang Xie +1
The first main result of this paper is to prove that the convergence of Lott's delocalized eta invariant holds for all differential operators with a sufficiently large spectral gap…